Numerical modeling of sediment transport applied to coastal morphodynamics

Kozyrakis, Georgios V.; Delis, A. I.; Alexandrakis, George; Kampanis, Nikolaos A.

doi:10.1016/j.apnum.2014.09.007

Cited by 16 publications

(10 citation statements)

References 37 publications

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“…These models are most often used in fluvial settings, where the effects of lateral sediment transport are important, but individual grains receive little upward momentum and remain largely near the bed surface. These models are widely used: a partial list of examples in the literature includes Hudson & Sweby (2005), Murillo & García-Navarro (2010), Benkhaldoun, Seaïd & Sahmim (2011), Siviglia et al (2013), Juez, Murillo & García-Navarro (2014 and Kozyrakis et al (2016). (iv) Combined model.…”

Section: Formulationmentioning

confidence: 99%

Linear stability of shallow morphodynamic flows

et al. 2021

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Section: Formulationmentioning

confidence: 99%

Linear stability of shallow morphodynamic flows

et al. 2021

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“…where ∆A * ξ 1 ξ 2 = ∆ξ 1 ∆ξ 2 is the horizontal surface element in the transformed space. By recalling that ∆V * is not time dependent, by dividing by ∆V * and by recalling Equations (13) and (14), Equation (9), expressed in the time-dependent coordinate system defined in Equation (11), becomes:…”

Section: Of 17mentioning

confidence: 99%

“…In order to have a reliable prediction of the wave overtopping over a structure, a numerical model has to consistently simulate different phenomena: wave transformation from deep to shallow water, wave breaking over variable bathymetry, wave run-up on the structure, wave transmission, three-dimensional effects. The first numerical models presented in literature for the overtopping simulation were based on solution of the depth-averaged Nonlinear Shallow Water Equations (NSWE) (e.g., [7][8][9]). Using shock-capturing methods, these NSWE-type models possess the capability to naturally simulate wave breaking [8].…”

Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Investigation of Wave Overtopping of Barriers

Cannata

Tamburrino

Ferrari

et al. 2020

Water

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We present a study of wave overtopping of barriers. The phenomenon of the wave overtopping over emerged structures is reproduced both numerically and experimentally. The numerical simulations are carried out by a numerical scheme for three-dimensional free-surface flows, which is based on the solution of the Navier–Stokes equations in a novel integral form on a time-dependent coordinate system. In the adopted numerical scheme, a novel wet–dry technique, based on the exact solution of the Riemann problem over the dry bed, is proposed. The experimental tests are carried out by adopting a nonintrusive and continuous-in-space image-analysis technique, which is able to properly identify the free surface even in very shallow waters or breaking waves. A comparison between numerical and experimental results, for several wave and water-depth conditions, is shown.

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“…To put this work further into the proper perspective, we mention that suspended sediment transport in shallow regimes by using a Saint-Venant or shallow water model combined with passive transport equations for the different species is a well-known approach [18,26,27,31,35,43]. These models are obtained by averaging the original three-dimensional equations along the height of the fluid and allow one to simulate sediment transport with a relative small computational cost.…”

Section: Related Workmentioning

confidence: 99%

A dynamic multilayer shallow water model for polydisperse sedimentation

2019

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A multilayer shallow water approach for the approximate description of polydisperse sedimentation in a viscous fluid is presented. The fluid is assumed to carry finely dispersed solid particles that belong to a finite number of species that differ in density and size. These species segregate and form areas of different composition. In addition, the settling of particles influences the motion of the ambient fluid. A distinct feature of the new approach is the particular definition of the average velocity of the mixture. It takes into account the densities of the solid particles and the fluid and allows us to recover the global mass conservation and linear momentum balance laws of the mixture. This definition motivates a modification of the Masliyah-Lockett-Bassoon (MLB) settling velocities of each species. The multilayer shallow water model allows one to determine the spatial distribution of the solid particles, the velocity field, and the evolution of the free surface of the mixture. The final model can be written as a multilayer model with variable density where the unknowns are the average velocities and concentrations in each layer, the transfer terms across each interface, and the total mass. An explicit formula of the transfer terms leads to a reduced form of the system. Finally, an explicit bound of the minimum and maximum eigenvalues of the transport matrix of the system is utilized to design a Harten-Lax-van Leer (HLL)-type path-conservative numerical method. Numerical simulations illustrate the coupled polydisperse sedimentation and flow fields in various scenarios, including sedimentation in a type of basin that is used in practice in mining industry and in a basin whose bottom topography gives rise to recirculations of the fluid and high solids concentrations.Mathematics Subject Classification. 65N06, 76T20.

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Numerical modeling of sediment transport applied to coastal morphodynamics

Cited by 16 publications

References 37 publications

Linear stability of shallow morphodynamic flows

Linear stability of shallow morphodynamic flows

Numerical and Experimental Investigation of Wave Overtopping of Barriers

A dynamic multilayer shallow water model for polydisperse sedimentation

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